Analysis by Its History

• Corporate Author: SpringerLink (Online service)
• Other Authors: Hairer, E. (Editor), Wanner, G. (Editor)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2008.
• Series: Undergraduate Texts in Mathematics, Readings in Mathematics,
• Subjects: Mathematics.; Functions of real variables.; History.; Real Functions.; History of Mathematical Sciences.

This book presents first-year calculus roughly in the order in which it first was discovered. The first two chapters show how the ancient calculations of practical problems led to infinite series, differential and integral calculus and to differential equations. The establishment of mathematical rig...

Table of Contents:

• to Analysis of the Infinite
• Differential and Integral Calculus
• Foundations of Classical Analysis
• Calculus in Several Variables.